By combining the works [1]} and [2]}, there is a (constructive) 2-to-1 correspondence between well-labelled trees and bipartite planar maps with a distinguished vertex (in addition to the root-edge); the 2-to-1 comes from the fact that it looses the orientation of the root-edge.
See Figure REF  for an example and [3]} for details.
This correspondence enjoys the following properties:
